math

During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of [c]5 deg 1[e] feet from its base (Note: if [e]=6, then 1[e]=16, and if [c]=3, then [c]5°=35°).

how tall was the pole before the windstorm

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asked by alex
  1. what a load of rubbish.

    If the leaning part has length h, touches the ground x feet from the base, and the standing part has length y, then

    y/h = sinθ
    y/x = tanθ

    Then the pole is y+h feet tall.

    You can play cutesy games with [c] and [e], but when you finally get tired, just plug in your numbers.

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    posted by Steve

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